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Finding the Third Proportional to 161,378 and 341,948

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Solution

The third proportional to 161,378 and 341,948 is: 724,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,378 : 341,948 = 341,948 : x
  2. Step 2: Convert to fraction form
    161,378/341,948 = 341,948/x
  3. Step 3: Cross multiply
    161,378x = 341,948 × 341,948
  4. Step 4: Simplify right side
    161,378x = 116,928,434,704
  5. Step 5: Solve for x
    x = 116,928,434,704/161,378
  6. Step 6: Final answer
    x = 724,562.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.